Symmetries and Overdetermined Systems of Partial Differential Equations
Symmetries in various forms pervade mathematics and physics. Globally, there are the symmetries of a homogenous space induced by the action of a Lie group. Locally, there are the infinitesimal symmetries induced by differential operators, including not on
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Series Editors Douglas N. Arnold Arnd Scheel
Institute for Mathematics and its Applications (IMA) The I n s t i t u t e for M a t h e m a t i c s a n d its A p p l i c a t i o n s was established by a grant from the National Science Foundation to the University of Minnesota in 1982. The primary mission of the IMA is to foster research of a truly interdisciplinary nature, establishing links between mathematics of the highest caliber and important scientific and technological problems from other disciplines and industries. To this end, the IMA organizes a wide variety of programs, ranging from short intense workshops in areas of exceptional interest and opportunity to extensive thematic programs lasting a year. IMA Volumes are used to communicate results of these programs that we believe are of particular value to the broader scientific community. The full list of IMA books can be found at the Web site of the Institute for Mathematics and its Applications: h t t p : / / w w w , ima. umn. edu / springer /volumes. ht ml Presentation materials from the IMA talks are available at h t t p : / / w w w , ima. umn. edu / talks / Douglas N. Arnold, Director of the IMA
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PROGRAMS
Statistical and Continuum Approaches to Phase Transition Mathematical Models for the Economics of Decentralized Resource Allocation Cont, inullm Physics and Partial Differential Eqllat, ions Stochastic Differential Equations and Their Applications Scientific Computation Applied Combinatorics Nonlinear Waves Dynamical Systems and Their Applications Phase Transitions and Free Boundaries Applied Linear Algebra Control Theory and its Applications Emerging Applications of Probability Waves and Scattering Mathematical Methods in Material Science Mathematics of High Performance Computing
Continued at the back
Michael Eastwood Willard Miller, Jr. Editors
Symmetries and Overdetermined Systems of Partial Differential Equations
Springer
Michae] E a s t w o o d S c h o o l o f M a t h e m a t i c a l Sciences T h e I hliversity o f Adelaide SA 5005, Australia http://ww w.rr~hs.adelaide.edu .au/pure/staff/ meastwood.hmfl
W i l l a t d Mi]Ier, Jr. S c h o o l of M a t h e m a t i c s University of M i n n e s o t a 127 V i n c e n t Hail, 206 C h m c h S t S E Minneapolis, M N 55455 ht ~p://w wwSirra.ulml.edu/- miller/
Series Edifors Douglas N, Arnold A r n d Scheel [nsfitnte for Matllematics a n d its Applications University o f M i n n e s o t a Minneapolis, M N 5 5 4 5 5 USA
I S B N 978-0-387-73830-7
e-[SBN 978-0-387-73831-4
Librm'y of Congeass Comrol Number: 2007933698 Mathematics Suhject Classification 12000): 58J70, 35 06, 53 06, 70 06, 81 06 !: 2008 Springer Science+Bu sine.KsMedia. I,[ 2~ AII riybts reserved This woik may not be translated or copied in whole or in pail without the written pcmtission of tie pubtMaer (Springer Sciencc+Bushless Media, LLC, 233 Spring Stl~ct, New York, N
